Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator - Exercise Set: 11

Answer

$\dfrac{4a}{a^{2}+2a-15}-\dfrac{12}{a^{2}+2a-15}=\dfrac{4}{a+5}$

Work Step by Step

$\dfrac{4a}{a^{2}+2a-15}-\dfrac{12}{a^{2}+2a-15}$ Evaluate the substraction of the two rational expressions: $\dfrac{4a}{a^{2}+2a-15}-\dfrac{12}{a^{2}+2a-15}=\dfrac{4a-12}{a^{2}+2a-15}=...$ Factor the denominator and take out common factor $4$ from the numerator. Then, simplify: $...=\dfrac{4(a-3)}{(a+5)(a-3)}=\dfrac{4}{a+5}$
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